Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 115, 118 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 115 and 118 is 1.
GCF(115,118) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 115
5 | 115 |
23 | 23 |
1 |
Prime factors of 115 are 5,23. Prime factorization of 115 in exponential form is:
115 = 51×231
Prime Factorization of 118
2 | 118 |
59 | 59 |
1 |
Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:
118 = 21×591
∴ So by taking common prime factors GCF of 115 and 118 is 1
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors and prime factorization of 115 and 118. The biggest common factor number is the GCF number.
So the greatest common factor 115 and 118 is 1.
Also check out the Least Common Multiple of 115 and 118
(i) The GCF of 115 and 118 is associative
GCF of 115 and 118 = GCF of 118 and 115
1. What is the GCF of 115 and 118?
Answer: GCF of 115 and 118 is 1.
2. What are the Factors of 115?
Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.
3. What are the Factors of 118?
Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.
4. How to Find the GCF of 115 and 118?
Answer:
Greatest Common Factor of 115 and 118 = 1
Step 1: Find the prime factorization of 115
115 = 5 x 23
Step 2: Find the prime factorization of 118
118 = 2 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 115 and 118 is 1